The plane stress sectorial domain is analysed according to a state-space formulation of the linear theory of elasticity. When loading is applied to the straight radial edges (flanks), with the circular arcs free of traction, one has the curved beam; when loading is applied to the circular arcs, with the flanks free of traction, one has the elastic wedge. A complete treatment of just one problem...

The paper developed a technique for solving mixed nonaxisymmetric problems of the theory elasticity bounded bodies revolution made transversely isotropic material under action surface forces specified according to cyclic law. involves development energy method boundary states, which is based on concepts spaces internal and conjugated by isomorphism, makes it possible establish one-to-one corres...

Transfer matrices are used widely for the dynamic analysis of engineering structures, increasingly so for static analysis, and are particularly useful in the treatment of repetitive structures for which, in general, the behaviour of a complete structure can be determined through the analysis of a single repeating cell, together with boundary conditions if the structure is not of infinite extent...

In this paper the second generation wavelets are applied as a basis in finite element method. The wavelet basis is constructed over typical nonequispaced nodes and on boundaries. In addition the wavelet bases are tailored to the Poisson's operator. The wavelet basis is lifted to enforce operator orthogonality, this eliminates coupling between coarse and detail parts of the stiffness matrix. The...

In this paper, we introduce, analyze and test first and second order stabilized discontinuous two-field mortar formulations for linearized elasticity problems, following the stabilization technique of Brezzi and Marini [BM00] introduced in the scalar elliptic case for a three-field formulation. All the fundamental assumptions arising in mortar formulations are proved for our discretization proc...

This note gives a necessary and sufficient condition that a compressible, isotropic elastic material should admit non-trivial states of finite anti-plane shear. One of the simplest classes of deformations of solids is that of anti-plane shear, in which each particle of a cylindrical body undergoes a displacement parallel to the generators of the cylinder and independent of the axial position of...

Incompressibility is established for threeand two-dimensional deformations of an anisotropic linearly elastic material, as conditions to be satis ed by the elastic compliances. These conditions make it straightforward to derive results for incompressible materials from those established for compressible materials. As an illustration, the explicit secular equation is obtained for surface waves i...